The graph of y = 2 is shifted down by 6 units and to the left by 9 units.
What is the equation of the new graph?
Choose 1 answer:
A
y=|x + 9 |+ 6
B
y =|x +9| – 6
C y = |2 - 9|+6
D y = |2 - 9|– 6

Answers

Answer 1

Answer:

[tex]y = |x + 9| - 6[/tex]

Step-by-step explanation:

Given

[tex]y = |x|[/tex] --- the correct equation

Shifted down 6 units

Shifted left 9 units

Required

The new equation

When function is shifted down by b units, the new function is:

[tex](x,y) = (x,y-b)[/tex]

In this case:

[tex]b =6[/tex]

So, [tex]y = |x|[/tex] becomes

[tex]y =|x| - 6[/tex]

When function is shifted left by b units, the new function is:

[tex](x,y) = (x+b,y)[/tex]

In this case:

[tex]b =9[/tex]

So: [tex]y =|x| - 6[/tex] becomes

[tex]y = |x + 9| - 6[/tex]


Related Questions

Which set of numbers does NOT represent the lengths of the sides of a triangle? (6, 18, 23) (6, 22, 17) (16, 24, 7) (22, 8, 15​

Answers

Answer:

(16, 24, 7)

Step-by-step explanation:

The Triangle Inequality states that the sum of lengths of any two sides should be greater than the length of the third side.

But 16 + 7 = 23 is not greater than 24.

A system of two linear equations is graphed on a coordinate plane. If the system of equations has infinitely many solutions, which statement must be true?

A
The lines are parallel.
B
The lines intersect in one point.
C
The lines are the same.
D
None of the above

Answers

Answer:

c

Step-by-step explanation:

Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.

So C would be the most accurate statement

please give brainiest

Why is it important for a company to create an income statement?

Answers

An income statement is important because it offers a recent picture of the company's revenues and expenses and overall profitability. Managers and investors can use this information to make financial decisions.

Select all the ordered pairs that are solutions of the equation.
A. (-7, 1)
B. (-1,7)
C. (0,5)
D. (2,3)
E. (3, 2)
F. (5,0)

Answers

Answer:

B. (-1,7)

C. (0,5)

D. (2,3)

Step-by-step explanation:

We solve this question looking at the graphic.

A. (-7, 1)

When [tex]x = -7, y \rightarrow \infty[/tex], and thus (7,-1) is not solution of the equation.

B. (-1,7)

When [tex]x = -1, y = 7[/tex], and thus (-1,7) is a solution of the equation.

C. (0,5)

When [tex]x = 0, y = 5[/tex], and thus (0,5) is a solution of the equation.

D. (2,3)

When [tex]x = 2, y = 3[/tex], and thus (2,3) is a solution of the equation.

E. (3, 2)

When [tex]x = 3, y \neq 2[/tex], and thus (3,2) is not part of the solution

F. (5,0)

When [tex]x = 5, y \neq 0[/tex], and thus (5,0) is not part of the solution

Solve the right triangle below. Round sides to the nearest thousandth and angles to the nearest degree.

Answers

Answer:

Option 4, BC = 12.689, m∠A = 58°, and m∠C = 32°

Hope this helps!

A surveyor has a survey a triangular plot of land. One side of the plot lies along countryside road. This side is 400 ft long. The second side is the gore road, which intersects countryside road at an angle of 88 degrees. The third side of this plot of land is 550 ft long. Determine the distance of the gore road that makes up in the unknown side of plot to the nearest foot

Answers

9514 1404 393

Answer:

  392 ft

Step-by-step explanation:

As in the attached figure, you seem to have sides b and c of the triangle, along with angle C. You want to find side 'a'. The law of sines can be used to find angle B, then angle A can be found from the sum of angles. Knowing angle A, we can find side 'a'.

  sin(B)/b = sin(C)/c

  sin(B) = (b/c)sin(C) = 400/550·sin(88°)

  B = arcsin(8/11·sin(88°)) ≈ 46.621°

Then angle A = ...

  A = 180° - B - C = 180° -46.621° -88° = 45.379°

Now, we can find side 'a' from ...

  a/sin(A) = c/sin(C)

  a = c·sin(A)/sin(C) ≈ 550·sin(45.379°)/sin(88°) ≈ 391.710 . . . feet

The unknown side of the triangle is about 392 feet.

Dan is helping to build a stage for a concert.
4 m
3 m
3 m
3.5 m
12 m
He needs to order some non-slip flooring for the stage.
Calculate the area of the stage.

Answers

I’d need more than numbers , maybe a shape that identifies because your shape is not a parallelogram

Answer: 37m

Step-by-step explanation:

Convert 300cm into m = 3m

6 + 6 + 3 + 3 + 3.5 + 3.5 + 12 = 37m


There are 30 students in a class and 18 of them own at least one pet.
What fraction of the class own pets?
Give your answer in its simplest form.

Answers

Answer:

18/30=3/5

Step-by-step explanation:

Grade 9 transformation graph

Answers

Answer:

1) D

2) C

3) A

4) B

Step-by-step explanation:

Ok, we need to try each function in the point x = 0 and then analyze the limit as x goes to really large values.

1) g(x) = -3^x

When x = 0, we have:

g(0) = -3^0 = -1

Then we know that the graph of this function will be either A or D.

Now, as x goes to really large values, 3^x will eventually approximate to infinity.

Then - 3^x will approximate to negative infinnity.

From that, we can conclude that the graph for this function is the one that goes to negative infinite as x increases. That is graph D.

2) h(x) = (1/3)^(-x) = 3^x

This is the exact opposite of the previous function. So we need to find the graph that is an exact reflection across the x-axis of graph D, and that one is the graph C.

then the graph if this function is C.

3) k(x) = - (1/3)^x = -1/(3^x)

When x = 0

k(0) = -(1/3)^0 = -1

We have two options with a y-intersect at y = -1  (graph A and D) and in this case, we can see that the part that grows fast is in the denominator, then as x increases, the denominator increases, and thus the function will tend to zero, then the graph of this function is graph A.

4) g(x) =  3^(-x) = 1/(3^x)

g(0) = 1/(3^0) = 1/1 = 1

And same as before, as x increases, g(x) tends to zero.

Then the remaining graph (B) is the graph of this function.

find the measure of the angle indicated
1. 73
2. 57
3. 84
4. 83

Answers

Answer:

2 . 57

Step-by-step explanation:

sorry if I'm wrong I'm not the Brady at math just trying

Of the 600 people at a music festival, 420 had attended the previous year. how many people out of 100 had attended the previous year?
A 42
B 60
C 80
D 70

Answers

Answer is D. Hope I helped have a good day

Whoever gets the answer first and its correct gets brainlist!

Answers

Answer:

No because the graph is not a straight line

Step-by-step explanation:

Since the slope isn’t constant, the graph is not linear

5,2,4 does this make a triangle

Answers

Answer:

Yes

Step-by-step explanation:

Two numbers have to be greater than the other one or it does not make a triangle.

5+2>4, 7>4 true

5+4>2, 9>2 true

4+2>5, 6>5 true

If this helps please mark as brainliest

Yes because 5 and 4 are greater than 2.
a2 +b2 = c2
2^2 + 4^2 = 5^2
4 + 16 =25

Pythagorean theorem proves that those side lengths create a triangle as well.

Urgent math question, 10 points for a solve.

Answers

Answer:

cot (X) = 5/12

Step-by-step explanation:

tan (X) = opp/adj so cot (X) is adj/opp

What expressions are equivalent to 2.097 help

Answers

Answer:

ur question is not complete.

Score: 0 of 1 pt
7.1.21
Graph the equation. Select integers for x from – 3 to 3, inclusive.
y=x2-3
Use the graphing tool to graph the equation.
Click to
enlarge

Answers

Answer:

See attachment for graph

Step-by-step explanation:

Given

[tex]y = x^2 - 3[/tex]

Required

The graph of the equation

First, we determine the range of y

[tex]x = -3[/tex]

[tex]y = x^2 - 3 \to y = (-3)^2 - 3 = 6[/tex]

[tex](-3,6)[/tex]

[tex]x = -2[/tex]

[tex]y = (-2)^2 - 3 = 1[/tex]

[tex](-2,1)[/tex]

[tex]x = -1[/tex]

[tex]y = (-1)^2 - 3 = -2[/tex]

[tex](-1,-2)[/tex]

[tex]x=0[/tex]

[tex]y = 0^2 - 3 = -3[/tex]

[tex](0,-3)[/tex]

[tex]x = 1[/tex]

[tex]y= 1^2 - 3 = -2[/tex]

[tex](1,-2)[/tex]

[tex]x = 2[/tex]

[tex]y =2^2 - 3 = 1[/tex]

[tex](2,1)[/tex]

[tex]x = 3[/tex]

[tex]y = 3^2 - 3 = 6[/tex]

[tex](3,6)[/tex]

See attachment for graph

Provide the steps!
••••••••••••••••••••••

Answers

Answer:

3×3=9

3×8=24

3×8=24

24+24+9=57

this is the surface area

For a bell-shaped distribution with µ = 30, what is the most probable value for the mode?

Answers

Answer:

[tex]Mode = 30[/tex]

Step-by-step explanation:

Given

[tex]\mu = 30[/tex] --- Mean

Required

The possible value of the mode

For a bell-shaped distribution, we have:

[tex]Mean = Mode[/tex]

Rewrite as:

[tex]Mode = Mean[/tex]

This gives;

[tex]Mode = \mu[/tex]

Hence:

[tex]Mode = 30[/tex]

Answer:

For a bell-shaped distribution with µ = 30,

Mode =30

Step-by-step explanation:

good luck

which pair of words describes this system of equations 3y=9x-6 2y+6x=4

Answers

Answer:

Consistent and dependent

Step-by-step explanation:

Given

[tex]3y = 9x - 6[/tex]

[tex]2y + 6x = 4[/tex]

Required

The words that describe the equations

Make y the subject in (2)

[tex]2y + 6x = 4[/tex]

Collect like terms

[tex]2y = 4 - 6x[/tex]

Divide through by 2

[tex]y = 2 - 3x[/tex]

Substitute: [tex]y = 2 - 3x[/tex] in (1)

[tex]3y = 9x - 6[/tex]

[tex]3(2 - 3x) = 9x - 6[/tex]

[tex]6 - 9x = 9x - 6[/tex]

Collect like terms

[tex]9x+9x = 6+6[/tex]

[tex]18x = 12[/tex]

Solve for x

[tex]x = \frac{12}{18}[/tex]

Simplify

[tex]x = \frac{2}{3}[/tex]

Substitute [tex]x = \frac{2}{3}[/tex] in [tex]y = 2 - 3x[/tex]

[tex]y = 2 - 3*\frac{2}{3}[/tex]

[tex]y = 2 - 2[/tex]

[tex]y =0[/tex]

So, we have:

[tex]x = \frac{2}{3}[/tex] and [tex]y =0[/tex]

The system is consistent because it has at least 1 solution

The system is dependent because it has more than 1 solution

Question 1 (1 point)
John started with $1,000 in an investment account. Each year the money in the account doubled. If there is currently $16,000 in the
investment account, how many years have passed since the account was opened?
years

Answers

Answer:

4 yrs have passed since the account was opened

4 years has passed since the account has been opened:)

1. You borrow $500 from a bank with a 5% annual interest and
the maturity date is in 3 years
a. How much would you pay in interest at the end of the
loan if you pay simple interest
b. How much would you pay in interest at the end of the
loan if you pay in compound interest

Answers

Answer:

Step-by-step explanation:

Discussing interest starts with the principal, or amount your account starts with. This could be a starting investment, or the starting amount of a loan. Interest, in its most simple form, is calculated as a percent of the principal. For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5. The total amount you would repay would be $105, the original principal plus the interest.

What is the volume of the composite figure below? (formula for volume of a prism is 1/3 Bh where B is the area of the base.)

Answers

Answer:

Last Option; 84 cu. mm

Step-by-step explanation:

We know that;

Volume = 1/3(Bh)

And that this is figure has a square base, therefore B that represents the area of the base will be: 6 * 6 = 36

And height = 7mm

Therefore we can say;

Volume = (1/3)*(6 x 6)*(7)

Volume = (1/3)*(36)*(7)

Volume = (12)*(7)

Volume = 84

Hope this helps!

Two​ trains, Train A and Train​ B, weigh a total of 532 tons. Train A is heavier than Train B. The difference of their weights is 450 tons. What is the weight of each​ train?

Answers

Train A = 450 tons
Train B = 82 tons.

Since train A is heavier we know the difference already which is 450 so just subtract 532 and 450 to get train B (82 tons)

PLEASE ANSWER ASAP FOR BRAINESLT!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

b and d I think!!

Step-by-step explanation:

The figure below shows a rope that circles the Earth. The radius of the Earth is 6371 kilometers.
Assuming the rope makes a perfect circle, what is the length of this rope?
Give your answer in terms of pi.

Answers

Rope circle earth 6371 kilometers

Solve for x. -2.7x + 0.4 =2.8 -1.2x​

Answers

x=-1.6

Hope this Helped! :T

The answer is X= -1.6

What is the following product?

Answers

Your correct it’s the first one

Ulyssa draws a rectangle
that is 2/3 of a meter
long and 3/5 of a meter
wide. What is the area
of this rectangle?

Answers

Answer:

15m

Step-by-step explanation:

What is the least common multiple of six and four

Answers

Answer:

12 hello how are you doing

Answer:

Least Common Multiple (LCM) :-

2 | 6 , 42 | 3 , 23 | 3 , 1 | 1 , 1

LCM 2 × 2 × 3= 4 × 3= 12

The least common multiple of six (6) and four (4) is twelve (12).

Write the phrase as a numerical expression.
3.
5 more than 8
4. 8 less than 2 times a number

Answers

3. 8+5

4. 2x - 8

Step-by-step explanation:

3. for example : 5 more than the number means

x+5 so that's how we get the answer as 8+5

4. This can be explained in two folds firstly, for example: 2 less than the number means x-2.

secondly;7 times the number means 7x so therefore we get our final answer as 2x - 8

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